no idea what you mean by that
#help-10
balmy mortar
wary sail
like 2.10
balmy mortar
im saying
that since the graph doesnt have units labelled
1 grid square could be any size
nocturne minnow
no idea what you mean by that
I think they were referring to the roots being decimal
nocturne minnow
I'm pretty sure that the assumption is each grid is a unit of 1
wary sail
ye
balmy mortar
Does the factor theorem work if f is non-polynomial
wary sail
but still how do u determine the equation
balmy mortar
surely not, right
balmy mortar
but still how do u determine the equation
you're not meant to
I think you're meant to assume f is a polynomial
and use the factor theorem
balmy mortar
try 🙂
wary sail
i don’t have any numbers tho
nocturne minnow
wary sail
not sure u just looked up a calculator
balmy mortar
huh?
wary sail
but it’s decimal values
wary sail
the root on the right is (2.10,0)
nocturne minnow
but still how do u determine the equation
No need for equation
You doing too much
wary sail
For a polynomial P(x)
no
nocturne minnow
balmy mortar
im typing it
nocturne minnow
That should help
balmy mortar
oh ok ^
nocturne minnow
A lot
wary sail
how would u proceed in my probelm
balmy mortar
read carefully
nocturne minnow
Function evaluated at c
balmy mortar
If P(x) = (x-a)Q(x) + b
Then P(a) = b
For polynomials P and Q
wary sail
i’ve never done practice problems using it so doing it first time will be hard
so i do f(x-1)
nocturne minnow
how would u proceed in my probelm
Say for example, if it was x - 3 instead of x - 1. Then in x - 3, c = 3 because of the form x - c. So the remainder is evaluated at c. So you do f(3)
So back to your problem, x - 1, what would c be?
nocturne minnow
Yes
wary sail
that’s the remainder?
nocturne minnow
Yep
obtuse pebbleBOT
obtuse pebbleBOT
@regal tendon Has your question been resolved?
obtuse pebbleBOT
regal tendon
.close
obtuse pebbleBOT
Available help channel!
haughty stratus
1/x-1 - 2/x^2-1
obtuse pebbleBOT
1/x-1 - 2/x^2-1
haughty stratus
how do i do this?
balmy mortar
factorize x^2 - 1
haughty stratus
yep i did that
nocturne minnow
how do i do this?
What did you try so far?
haughty stratus
i factorised x^2-1
made the denominator on the other side the same by timesing the top and bottom by (x+1)
then subtracted the fraction
balmy mortar
are you not done?
balmy mortar
ah theres some more simplifying actually
x+1-2, what is this
then see if you can spot something else
haughty stratus
then see if you can spot something else
could you also help me with this question please
1/1-x - 3/1-x^3
idek where to start
haughty stratus
yeah idk how to factorise that
nocturne minnow
could you also help me with this question please
1/1-x - 3/1-x^3
Sum and difference of special cubes
There are formulas
I don't remember them but you can Google it
haughty stratus
oh its the (a-b)(smth) one
balmy mortar
you could as well
nocturne minnow
oh its the (a-b)(smth) one
Yes
haughty stratus
.close
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
timid silo
why is this incorrect?
obtuse pebbleBOT
why is this incorrect?
nocturne minnow
why is this incorrect?
Are you getting -11 because the sin and cos are swapped?
obtuse pebbleBOT
@timid silo Has your question been resolved?
timid silo
Are you getting -11 because the sin and cos are swapped?
yeah
obtuse pebbleBOT
timid silo
.reopen
obtuse pebbleBOT
✅
nocturne minnow
But does that matter? Isn't addition commutative so the order shouldn't matter meaning that the value should still be +11
timid silo
But does that matter? Isn't addition commutative so the order shouldn't matter m...
i tried +11 and it also didnt work
the reason i think its -11 cuz in the formula it has - sign in front of phi
nocturne minnow
It's been a while since I did trig identities, sorry
timid silo
phi = atan (a/b) = atan (1.5/7.6) = 11
obtuse pebbleBOT
@timid silo Has your question been resolved?
timid silo
can i get help
oblique glacier
.close
proper raptor
−17−x^2−9x^7, can this be factored?
obtuse pebbleBOT
−17−x^2−9x^7, can this be factored?
timid silo
−17−x^2−9x^7, can this be factored?
https://www.wolframalpha.com/input/?i=factor+−17−x^2−9x^7
doesn't factor nicely
marble ibex
Hey, if the modulus of a complex number is defined as |z| = sqrt(x^2 +y^2), is the modulus of z = 1 + i not sqrt(1 + (-1)) = sqrt(0) = 0?
obtuse pebbleBOT
Hey, if the modulus of a complex number is defined as |z| = sqrt(x^2 +y^2), is t...
marble ibex
Ahh nvm i see the issue now
Its not sqrt(1^2 +i^2), its sqrt(a^2 + b^2) for z = a +bi
.close
modern ridge
factor x^2+2x+1
obtuse pebbleBOT
factor x^2+2x+1
modern ridge
how to do it
timid silo
uhh i think u got it wrong
noone got it wrong
worthy drum
from x^2+x+x+1 you can get (x^2+x) + (x+1)
unborn valley
uhh i think u got it wrong
No
Now you have to take common
X(x+1) +1(x+1)
(x+1)^2
??
timid silo
factor x^2+2x+1
u see this is in the form
(x)^2 + 2* x *1 + (1)^2 = (x+1)^2
modern ridge
u see this is in the form
(x)^2 + 2* x *1 + (1)^2 = (x+1)^2
ok got it
obtuse pebbleBOT
@modern ridge Has your question been resolved?
fervent comet
For question b. Why is the first position 4?
obtuse pebbleBOT
For question b. Why is the first position 4?
formal trout
For question b. Why is the first position 4?
the pic is unclear
fervent comet
Is that good enough?
<@&286206848099549185>
For question b. Why is the first position 4?
fervent comet
Isn’t there 5 excluding the 0
quaint glen
Choose the last number first, and one of the odd numbers can't be chosen for the first place
formal trout
lemme think
quaint glen
no worries mate
abstract magnet
Given that C is a set of cities in England and x,y∈C. R is a relation on set C defined as (x,y)∈R if x is close to y, i.e. the straight line distance is less than 50km.
The relation R is?
reflexive / not reflexive?
symmetric / not sysmmetric / antisymmetric ?
transitive / not transivive?
anyone has any idea on this question?
obtuse pebbleBOT
Given that C is a set of cities in England and x,y∈C. R is a relation on set C d...
quaint glen
What part of it are you struggling with?
abstract magnet
i am struggling to identify whether the relation is reflexive , sysmmetric and transitive
obtuse pebbleBOT
@abstract magnet Has your question been resolved?
abstract magnet
<@700364586104127554>
x is related to x?
royal basin
well your relation is "x R y iff the straight-line distance between x and y is less than 50km"
so what does x R x mean
abstract magnet
the distance betwwen x and x is less than 50km(if it is reflexive)
obtuse pebbleBOT
@abstract magnet Has your question been resolved?
royal basin
is it true that a city is always less than 50 km away from itself
royal basin
apologies for the delay on my part
i had intended for you to figure this out yourself
abstract magnet
yeah, i just noticed, really thank you man
so i think the answer is reflexive, not symmetric and transitive, is it correct @royal basin ?
abstract magnet
sorry i meant it is reflexive, symmetric and transitive
because x is close to y, then y is also close to x
my bad 🙂
royal basin
so why do you think it is transitive?
do you think that if A is less than 50km away from B, and B is less than 50km away from C, this means A must be less than 50km away from C? @abstract magnet
abstract magnet
sorry i made a mistake again
it should be not trainsitive, because if A is 50km away from B, and B is 30 km from Z, then A is actually 80km from Z , hence A is not close to Z, hence it is not transitive, is my logic correct or still wrong @royal basin ? 🙂
royal basin
yes now it's correct
abstract magnet
may i know why is this question 31 C 12? shouldn't it be 20 C 12?
obtuse pebbleBOT
may i know why is this question 31 C 12? shouldn't it be 20 C 12?
@abstract magnet Has your question been resolved?
royal basin
it would be 20C12 if you were only allowed to take at most one donut of each type
abstract magnet
it would be 20C12 if you were only allowed to take at most one donut of each typ...
it should be the case right? since it says we need to select 12 different type of donuts, which mean we can at most take one donut each type isn't it?
royal basin
no
it doesn't say we "select 12 different TYPES OF donuts"
it says we select 12 different donuts
which means we can have two or more of the same type as well
abstract magnet
but is the 12 different donuts considered distinct over here?
royal basin
yes they are distinct between types but donuts within one type are identical
abstract magnet
yes they are distinct between types but donuts within one type are identical
ah alright, so whenever we are dealing with selecting item which can be repeatedly of the same type , and the order does not matter, we will be using this formula?
royal basin
yes
obtuse pebbleBOT
@abstract magnet Has your question been resolved?
obtuse pebbleBOT
royal basin
what do to have after converting the lhs to sin and cos?
okay
can you turn 1/cos(x) - sin(x)/cos(x) into a single fraction
also the other parenthesis
do you know how to add fractions
it's just that, nothing else
glossy yew
.close
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
timid silo
obtuse pebbleBOT
timid silo
Is there a simpler way at understanding poly
Polynomes
I can't understand it, especially yhe multiplication
I jsut started understanding addition, but my class has moved onto multiplication
scarlet arrow
I see that ur French
Is it okay helping him in French?
idk if talking in another language is against rules
timid silo
I don't think it matters if its french, since the actual equation is there
balmy mortar
Is it okay helping him in French?
I've seen other ppl do this
since it helps
but idk about rules
timid silo
It's easier for me in english
My first language isn't French
It was just saying what type of equation it is
scarlet arrow
oh alright
obtuse pebbleBOT
@timid silo Has your question been resolved?
obtuse pebbleBOT
@timid silo Has your question been resolved?
obtuse pebbleBOT
@timid silo Has your question been resolved?
fossil sandal
obtuse pebbleBOT
fossil sandal
what am I doing wrong?
spiral maple
what am I doing wrong?
assuming it's an equilateral triangle
fossil sandal
yes
spiral maple
when it clearly isn't an equilateral triangle
fossil sandal
i think its right
spiral maple
it isnt
fossil sandal
How?
fossil sandal
ok thank you.
spiral maple
That was evident from the right angle marking
foggy heart
Need some help
fossil sandal
Yes
foggy heart
Do the sin of the 45 degree
fossil sandal
wdym
foggy heart
To find the x
foggy heart
Ok this is fairly simple, lemme do it
fossil sandal
ok..
royal basin
Ok this is fairly simple, lemme do it
do not
foggy heart
Why
foggy heart
Oh
Ok
Can u help me do mine
I sent it above
A bit confused on how to set it up
high lily
reserve your own channel #❓how-to-get-help
fossil sandal
I dont know how?
high lily
Arent they all =
no, this was already addressed by Mosh
fossil sandal
what?
foggy heart
Bruh I literally put it in simple terms for u to solve
high lily
consider the ratios of a 45°-45°-90° triangle
and/or set up some trig equations
or even properties of an isosceles right triangle (and apply pythagoras)
obtuse pebbleBOT
@fossil sandal Has your question been resolved?
acoustic pawn
is the union of the subspaces that make up the x and the y axis in R^2 a subspace of R^2?
obtuse pebbleBOT
is the union of the subspaces that make up the x and the y axis in R^2 a subspac...
acoustic pawn
or wait a better question, what even is the union the axes, is it all ordered pairs (so the plane spanned by the two axis) or litteraly just the two axes
river briar
the union of the axis is just the two axes
balmy mortar
The union of 2 subspaces is not necessarily a subspace.
As you've just demonstrated
river briar
if so, the sum of two vectors; for ex one in the x and the other in the y axes should be in the union
is it true ?
acoustic pawn
no
river briar
you have your answer
acoustic pawn
whats the span of the set of the union of the x and y axes? (im guessing the x-y plane but i wanne be sure)
obtuse pebbleBOT
whats the span of the set of the union of the x and y axes? (im guessing the x-y...
balmy mortar
what u said
no need to guess, you can figure it
span {(1,0,0,0,...),(0,1,0,0,...)}={(x,y,0,0,0...) for x, y real}
acoustic pawn
hmmm okey
acoustic pawn
no need to guess, you can figure it
exams r making me doubt myself lol
What about the span of the x, y and z axes? it should be R^3 right?
since a.(1,0,0)+b.(0,1,0)+c.(0,0,1) spans the entire R^3 space
balmy mortar
yes
neat flare
actually nvm
obtuse pebbleBOT
actually nvm
obtuse pebbleBOT
@neat flare Has your question been resolved?
neat flare
.close
bronze talon
obtuse pebbleBOT
@bronze talon Has your question been resolved?
obtuse pebbleBOT
@bronze talon Has your question been resolved?
obtuse pebbleBOT
@bronze talon Has your question been resolved?
cyan pagoda
latent panther
obtuse pebbleBOT
latent panther
Can anyone help me with this?
young tartan
isnt that basically f'(3)?
balmy mortar
you just plug in the values?
junior inlet
what do I plug in for h?
you don't
you plug 3+h into the formula for f(x)
(same with 3)
balmy mortar
$$f(3+h) = 4 + 4(3+h) - (3+h)^2$$
warm shaleBOT
Shuri2060
balmy mortar
To help you out
balmy mortar
?
I mean idk what it is
If you want to check
try some trivial values
h = 0, h = 1
delicate brook
obtuse pebbleBOT
delicate brook
I am just really confused on how to do this
and I need to know how to get it right
frozen willow
and I need to know how to get it right
This is one way you could do it
delicate brook
really thanks
delicate brook
This is one way you could do it
yeah but I am still kindof confused about this
even that method
frozen willow
yeah but I am still kindof confused about this
You can ask anytime
delicate brook
ok
I am confused on how that works
can you like explain it a bit further
@frozen willow
frozen willow
<@893512897500676096>
Do you know about pythagoras theorem?
delicate brook
yes
delicate brook
yes
frozen willow
Then we set either QP or MQ as x
The other will be MP - x
from there, we can look at triangles MNQ and NPQ
and use pythagorean theorem to set up two equations.
Two equations with one variables, x
delicate brook
Then we set either QP or MQ as x
The other will be MP - x
why
frozen willow
That's all sadly
delicate brook
oh
frozen willow
If you're familiar with trig functions we could use those to calculate NQ
delicate brook
ok am trying it right now
frozen willow
Ok
delicate brook
If you're familiar with trig functions we could use those to calculate NQ
kindof
just learned the sine cosine thing in class yesterday
frozen willow
Ok. Then we can stick to basic geometry
delicate brook
ok
delicate brook
and use pythagorean theorem to set up two equations.
how would you do that
frozen willow
This is one way you could do it
Like this
That equation right under the diagram
Actually, if you're still not satisfied, we could use the fact that triangle PQN and triangle PNM are similar to calculate NQ
delicate brook
pmq is a straight line
frozen willow
Sorry
delicate brook
i think you ment pnq
it’s cool
but then
no
then those are the same triangle
I’m still not able to understand this
@frozen willow can you use that equation that you made to solve this question
and can i see that work
so i can understand each step that you made
frozen willow
so i can understand each step that you made
We can express MQ in terms of PQ, or vice versa (PQ in terms of MQ)
If you do that, you're left with a simultaneous equation with 2 variables
This is the key to solving your problem. At least with this approach.
obtuse pebbleBOT
Available help channel!
celest copper
obtuse pebbleBOT
subtle quartz
celest copper
oh howcome? Wouldn't that force be acting to the left then?
Or are the forces generally acting towards the object?
.close
weak wind
How is a family of functions different from a function with 2 parameters?
it seems to me like every function from a family of functions just has an additional parameter
obtuse pebbleBOT
How is a family of functions different from a function with 2 parameters?
it see...
obtuse pebbleBOT
@edgy dagger Has your question been resolved?
obtuse pebbleBOT
@edgy dagger Has your question been resolved?
jaunty bear
how do i solve this?
(substitution method)
obtuse pebbleBOT
how do i solve this?
(substitution method)
obtuse pebbleBOT
@jaunty bear Has your question been resolved?
obtuse pebbleBOT
@jaunty bear Has your question been resolved?
jaunty bear
<@&286206848099549185>
drowsy iris
wait
solid gazelle
Hm?
drowsy iris
-3x+y = 2-- (1)
4x+2y = -1-- (2)
(1)*2: -6x+2y=4 --(3)
(3)-(1) -10x=5
x = -1/2
sub x = -1/2 into (2)
-2+2y=-1
y=1/2
@solid gazelle
solid gazelle
I have the same answer
solid gazelle
👍
jaunty bear
y=-3/2+2
y=1/2
how did you get 3/2?
solid gazelle
how did you get 3/2?
There's no 3/2
Maybe you mean -3/2
y=3x+2
y=3(-1/2)+2
y=-3/2+2
@jaunty bear
obtuse pebbleBOT
Available help channel!
tired dust
Im not sure if i set this up right
obtuse pebbleBOT
Im not sure if i set this up right
sage geode
(a + b)sqrt(ab) isn't the same as a + bsqrt(ab)
obtuse pebbleBOT
@tired dust Has your question been resolved?
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
woeful scarab
Hey
woeful scarab
Just had a quick question
How does the top number turn into the. Bottom one exactly?
azure lake
U factorise it and take as single any number that is in a pair of three
neat flare
i need help
obtuse pebbleBOT
i need help
neat flare
unique solstice
What's the graph
obtuse pebbleBOT
@neat flare Has your question been resolved?
obtuse pebbleBOT
@neat flare Has your question been resolved?
trim island
Is there anyway to simplify this
obtuse pebbleBOT
Is there anyway to simplify this
unique solstice
Yeah
Either multiply top and bottom by x
Or treat the division as multiplying by the reciptocal
obtuse pebbleBOT
@trim island Has your question been resolved?
timid silo
so when im rounding a digit that is followed by five, which is an insignificant digit
do i always round up, or does it depend on whether the last digit is even or odd?
i mean that some sources tell me that 3.65 rounded to two significant figures will be 3.7
others say that it's 3.6 because 6 is even and the 5 is not followed by other digits
obtuse pebbleBOT
so when im rounding a digit that is followed by five, which is an insignificant ...
high lily
depends on what rounding system you're applying
timid silo
i will swear
high lily
the most common is to see whether the following digit is less than 5, (where you'd round down)
or greater than/equal to 5, (where you'd round up)
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
split wigeon
A triangle with sides 25cm, 52 cm, and 63cm has a second triangle drawn inside it with all its sides a distance of 3 cm from the sides of the original triangle. The area of the inner triangle, in cm^2, is
obtuse pebbleBOT
A triangle with sides 25cm, 52 cm, and 63cm has a second triangle drawn inside i...
@split wigeon Has your question been resolved?
balmy mortar
draw a picture?
split wigeon
.close
simple herald
2d +4 = 10 + 2.5d the reason i am confused because i thought first we have to get rid of the smaller x. so i did, i got rid of 2d on each side gigving 0.5d = -6 but the awnser is not -3 = d and aparently i had to remove 2.5d? for some reason i dont understand why i would do that, is there any logic to this? because this is so simple but i just cant wrap my head around why its 2.5d and not 2d
simple herald
If somone (anyone) can explain what certain order i have to follow to solve these type of equations
because lets say 1/2x -2 = 4x +9 is simple because you just get rid of the smaller x which is 1/2x and move it to the right but when i tried to do what i usally do on this type of problem it didint work. why?
simple herald
`0.5d = -6` is correct
khan academy said it was wrong
they said i had to take the 2.5d and put it to the other side
balmy mortar
you can do that
simple herald
how can we get rid of the `0.5`?
divide by 0.5 on each side giving us -3
upbeat island
that's just a different way; not wrong
balmy mortar
either way is fine
simple herald
hmmm
balmy mortar
what you did is fine
upbeat island
divide by 0.5 on each side giving us -3
ah! here is the issue
balmy mortar
divide by 0.5 on each side giving us -3
and no
upbeat island
😄
simple herald
dudeee
u guys are such amazing people
for helping me
I cant imagine what id do without yall
i would've deff broke my monitor
or burned my house down
maybe cause a riot
okie bye bye lol
upbeat island
math be like that lmao
simple herald
fr bro
but i love it
hate love relationship
but its okay
cuz its so satisfying
when u get the right awnser
and you know how to do things
idk lol
ok now i offically go
adios
.close
rotund pecan
obtuse pebbleBOT
spiral maple
no
rotund pecan
I am thinking this because the bounds are the same
spiral maple
apply linearity of integration
rotund pecan
I don't know what that means
spiral maple
$\int af(x)+bg(x)\dd{x}=a\int f(x)\dd{x}+b\int g(x)\dd{x}$
warm shaleBOT
Mosh
spiral maple
yes.
spiral maple
yeah, and?
rotund pecan
the options are all constants
rotund pecan
is 24 the answer
spiral maple
yes.
rotund pecan
Thy ty
yo btw
If the integral has a blank lower bound
Like from a to b
and there is no a number
what do u assume the lower bound is
obtuse pebbleBOT
@rotund pecan Has your question been resolved?
smoky zenith
What do them mean when they ask
8th degree polynomial with a positive coefficient
im suppose to find the end behavior (i know what end behavior is)
obtuse pebbleBOT
What do them mean when they ask
8th degree polynomial with a positive coefficie...
short spruce
highest degree is ax^8 where a is positive
smoky zenith
wait typo
8th degree polynomial with a Negative coefficient
so just ax^-8
thick finch
enter
(-2(x+2))^3
adding to the x will make it go left and subtracting makes it go to the right
adding outside the parentheses you have will make it go up, vice versa goes down
hope this helps @smoky zenith
smoky zenith
k thanks
thick finch
make sure to do .close if you are done
timid silo
hii can someone explain why the answer of this is 4? looking off class notes and teacher never got time to explain
obtuse pebbleBOT
hii can someone explain why the answer of this is 4? looking off class notes and...
fresh heath
- x^2 + y^2 - 2x - 16y = -49
A) (x - 8)^2 + (y - 1)^2 = 16
(-8, -1), r = 16
C) (x - 1)^2 + (y - 8)^2 = 16
(1, 8), r = 4
B) (x - 8)^2 + (y - 1)^2 = 16
(8, 1), r=4
D) (x - 1)^2 + (y - 8)^2 = 16
(-1, -8), r = 16
obtuse pebbleBOT
61) x^2 + y^2 - 2x - 16y = -49
A) (x - 8)^2 + (y - 1)^2 = 16
(-8, -1), r = 16
C)...
fresh heath
Complete the square and write the equation in standard form. Then give the center and radius of the circle.
thick finch
is this multiple choice
fresh heath
yes
thick finch
because the answers say a, c, b, d
fresh heath
it is
thick finch
typo lol
fresh heath
lol
thick finch
so group the x and y
(x-2)x + (y-16)y = -49
make it a quadratic equation
x^2+(y-16)y+49=2x
fresh heath
then what?
thick finch
It simplifies to
(x-1)^2 + (y-8)^2 - 16 = 0
So its C
actually wait
theres radius
fresh heath
yeah
thick finch
its still c
fresh heath
how do u get the radius
thick finch
so you have
(x-1)^2 + (y-8)^2 = 16
that 16 part is radius^2
so square root of 16 is 4
fresh heath
kk
thick finch
does it all make sense?
tropic anchor
obtuse pebbleBOT
tropic anchor
doesnt give me the area
the picture I sent is the entire question
thats what Im confused with
timid silo
Ok
tropic anchor
I have the base but no height?
timid silo
Height is 12 mm
tropic anchor
could you explain?
timid silo
The two 8mm sides of the quadrilateral are parallel right ?
tropic anchor
yes
timid silo
So for parallel lines they have the property that perpendicular distance between them is always equal
Just shift the 12mm line till it meets one of the vertices and u have it
coarse badge
balmy mortar
I have the base but no height?
You have a height btw
tropic anchor
oh okay
balmy mortar
A base doesnt always have to be flat on the ground (and as a result, the height doesnt always have to point vertically upwards)
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
wraith barn
pls help-
hot steppe
hi
wraith barn
hi
timid silo
then do formula 01
if ur calculator have that function
timid silo
(oops sry cookie)
we can help together?
wraith barn
i cant use a calculator -w-
junior inlet
then do formula 01
....formula 01?
timid silo
idk it's my first day on here
timid silo
....formula 01?
a function that help u cross method with the no use of brain
wraith barn
i cant use that cause I need to show all of my working out
timid silo
ok i got it sry
balmy mortar
To factor cubics and quartics
timid silo
use factor theorium
balmy mortar
You are always expected to find some 'easy' roots
wraith barn
i need o use quadratic formula-
balmy mortar
and then do that
You are never expected to factor anything above degree 2 without easy roots
timid silo
try sub x like 1,-1,2,-2
wraith barn
I need to use quadratic formula tho
timid silo
u fact out x-1, then u can use quad
timid silo
wraith barn
i think im supposed to do it differently but- idk
timid silo
yup, or use program
timid silo
it's a grey area but u can insert program on ur calculator that instant calculate 3 roots
coral cloak
straightforward question here, I just don't understand what this definition for the norm of a matrix entails, the notation is confusing me. To be clear, max=sup (it's in spanish)
obtuse pebbleBOT
straightforward question here, I just don't understand what this definition for ...
balmy mortar
The maximum row sum (if I didn't get that the wrong way round)
versed oracle
obtuse pebbleBOT
junior inlet
log is injective for all bases
versed oracle
Right so now since bases are same we can simply add the powers innit.
junior inlet
yeah
versed oracle
(2/9)^9.
formal trout
u will get linear equation iin one variable
versed oracle
Since (2/9)^9 = (2/9)^2m-3
2 x m - 3 = 9?
junior inlet
Since (2/9)^9 = (2/9)^2m-3
2 x m - 3 = 9?
yep that's correct
versed oracle
I see. So basically just use algebra to solve
balmy mortar
🙂
exotic zephyr
Need help with B
obtuse pebbleBOT
@versed oracle Has your question been resolved?
obtuse pebbleBOT
need help on this one (part B)
alpine crown
obtuse pebbleBOT
@exotic zephyr Has your question been resolved?
obtuse pebbleBOT
@exotic zephyr Has your question been resolved?
obtuse pebbleBOT
@exotic zephyr Has your question been resolved?
timid silo
@exotic zephyr idk much about integral but
find the area under the graph
then add the initial number of ppl
compare both number
obtuse pebbleBOT
@exotic zephyr Has your question been resolved?
lament comet
so for this question do i rearrange equation 2 in terms of x and then sub into equation 1?
obtuse pebbleBOT
so for this question do i rearrange equation 2 in terms of x and then sub into e...
balmy mortar
yh
young tartan
You should have done that in the first place... Making sure that your method is correct before using it should be avoided in general
balmy mortar
u mean try and only ask when ur stuck
young tartan
If you have an idea apply it.. If it doesnt work then think why... If you cant figure it out then ask
young tartan
u mean try and only ask when ur stuck
Yea basically this only
lament comet
yeah see i tried that
young tartan
Did you get an answer?
lament comet
i think i know what to do
but i can’t figure out if my method was wrong or my working out is
lament comet
shouldn’t the ‘a’ be multiplied to the denominator tho
warm shaleBOT
Shuri2060
balmy mortar
?
lament comet
ohhhh ok ok
i get it now
thank you
so for future references:
when substituting a fractional value for a variable
only multiply by the numerator
??
balmy mortar
$$a\times\frac{b}{c} = \frac{ab}{c}$$
warm shaleBOT
Shuri2060
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
tender sun
Hi, how can I find the radius of a cylinder by having the volume (3000) and the length (2)
obtuse pebbleBOT
Hi, how can I find the radius of a cylinder by having the volume (3000) and the ...
west sierra
Imagine the rectangular paper
With length 2 units
When you fold it, it become hollow cylinder
Then fill the vacant up and bottom
But in any case
Volume of hollow cylinder=volume of proper cylinder
Do you just need to know volume's formula here
Which pi r^2 h
Length will be the height of cylinder
tender sun
okay
west sierra
Pi r^2 is the area of circle
Imagine buncha of circle filling the cylinder all the way from bottom to top of hollow opening
tender sun
yes
west sierra
So is the volume formula of cylinder justified
west sierra
ohh
tender sun
r * r * pi
west sierra
Yes
tender sun
okay
west sierra
So you understand how the volume formula of cylinder is made
tender sun
yes
tender sun
but I have to find the R of the circle
west sierra
Yes
You know the value of pi
22/7
And h aka length is already given
Just substitute the values and form the equation then solve it
R is found then.
Pi=22/7 or 3.14
I genrally use 22/7 because it's easier with this to simplify
tender sun
wait
royal basin
@vale mica read #❓how-to-get-help and get your own channel
tender sun
the exercise is
A tank, cylindrical in shape, has a capacity of 3000 liters. What is its radius knowing that its length is 2 m?
royal basin
Pi=22/7 or 3.14
I genrally use 22/7 because it's easier with this to simplify
do not present approximations as if they are equalities
pi, 22/7 and 3.140 are three different numbers that happen to be close to each other
west sierra
do not present approximations as if they are equalities
Oh!! I see thank you!
Always use 22/7 for pi unless specified another value @tender sun
royal basin
...
good job completely ignoring what i said...
pi is not equal to 22/7 and should not be treated as interchangeable with 22/7
tender sun
in switzerland i use 3.141592653 for Pi
mild ocean
if you’re able to use that, just use the actual value at that point
mild ocean
in switzerland i use 3.141592653 for Pi
because this implies you’re using a calculator
west sierra
pi is not equal to 22/7 and should not be treated as interchangeable with 22/7
Sorry I did t know that. I always have substituted 22/7 for pi
royal basin
so all this time, you thought that pi was exactly equal to 22/7..
west sierra
Yes
royal basin
well then you learned something new today.
west sierra
Yes
tender sun
can you help me to this " A tank, cylindrical in shape, has a capacity of 3000 liters. What is its radius knowing that its length is 2 meter ? "
mild ocean
not your channel
royal basin
it is XZY's channel actually
west sierra
can you help me to this " A tank, cylindrical in shape, has a capacity of 3000 l...
1 litre= 1dm^3
tender sun
yes
west sierra
Or
high lily
what have you tried so far xzy?
tender sun
it's 1 litre=1dm^3
west sierra
it's 1 litre=1dm^3
That's another measurement
tender sun
ok
high lily
i consider using the conversion
1kL = 1m^3
simpler to apply here
tender sun
yes
high lily
less decimals etc (though other valid conversions are fine too)
so it'd be helpful to first convert 3000L to kL
high lily
now convert 3kL to m^3
tender sun
3m^3 ?
west sierra
and for find the radius with the volume and length ?
Have you studied how to form equations?
high lily
and for find the radius with the volume and length
bad wording, can't decipher what you mean
tender sun
Have you studied how to form equations?
no, for 1 week I am at home because I am sick
tender sun
> and for find the radius with the volume and length
bad wording, can't deciphe...
okay
high lily
try fix the wording or clearly show me what you're doing using math
west sierra
no, for 1 week I am at home because I am sick
So you can't solve it?
obtuse pebbleBOT
@tender sun Has your question been resolved?
rancid leaf
Hi, I have a question
Suppose that A union B = A union C, then B = C?
obtuse pebbleBOT
Hi, I have a question
Suppose that A union B = A union C, then B = C?
wary vigil
there could be overlap of A with B
and similarly of A with C
such that B is not C
even though the union of A with B = union of A with C
rancid leaf
For example {1, 2}U{1} = {1, 2} = {1, 2}U{2}
yess because sets don't allow repetition?
rancid leaf
even though the union of A with B = union of A with C
makes sense
thank you both ❤️
another question, when A - B = B - A? I think is when for example B = empty, it's right?
sage geode
It's B is the empty set, then B - A would be the empty set as well
And A - B would be A
I think A - B = B - A is true when A = B
wary vigil
that might be the only way for that to be true i think
rancid leaf
I think A - B = B - A is true when A = B
empty = empty?
wary vigil
i can't see another way